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Finding the Fourth Proportional to 12,097.95, 18,152.06 and 5,862.60

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Solution

The fourth proportional to 12,097.95, 18,152.06 and 5,862.60 is: 8,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.95 : 18,152.06 = 5,862.60 : x
  2. Step 2: Convert to fraction form
    12,097.95/18,152.06 = 5,862.60/x
  3. Step 3: Cross multiply
    12,097.95x = 18,152.06 × 5,862.60
  4. Step 4: Simplify right side
    12,097.95x = 106,418,237.64
  5. Step 5: Solve for x
    x = 106,418,237.64/12,097.95
  6. Step 6: Final answer
    x = 8,796.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.